# If 40% of a number is 56, what was the original number?

Nov 2, 2016

Original number is $140$

#### Explanation:

Any percent question can be done as a direct proportion.

In this case we have:

"If 56 represents 40%, how much is 100%?"

56/40 = ?/100

Using equivalent fractions.....

$\frac{56}{40} \times \frac{2.5}{2.5} = \frac{140}{100}$

The original number was 140.

Using cross-multiplying:

$\frac{56}{40} = \frac{x}{100}$

$40 x = 56 \times 100$

$x = \frac{56 \times 100}{40}$

$x = 140$